Answer:
180= 2x+ 4x+ 3x
180= 9x
x=20
a= 40
b= 80
c= 60
40+60+80= 180 (checking answers)
Step-by-step explanation:
15 and 2/3 for mixed number and improper is 94/6
Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
Answer:
36 unit
Step-by-step explanation:
The number of unit cubes in the shape = 36 unit cubes
The dimension (volume) of each cubes = 1 unit³
The type of shape = 3-dimensional
The arrangement of the cubes in the shape = Without gaps
The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes
Therefore;
The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³
The volume of the 3-dimensional shap³e, V = 36 unit³
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
